Find the total geometric area between y = x³ and the x-axis from x = -1 to x = 1.
Options

Question

Find the total geometric area between y = x³ and the x-axis from x = −1 to x = 1.

G1 Physics · Accepted Answer

Although ∫₋₁¹x³dx=0 because x³ is odd, geometric area uses absolute value. Area = 2∫₀¹x³dx = 2[x⁴/4]₀¹ = 1/2 square unit.